The sacrifice (hady) is ওয়াজিব for হাজীগণ performing হজ্জ al-Tamattu and হজ্জ al-Qiran, based on আল-কুরআনic verse: 'And whoever enjoys উমরাহ followed by হজ্জ must offer what is easily available of sacrificial animal. But whoever cannot find (one) — then a fast of three days during হজ্জ and seven when you return home. That is ten complete days' (2:196). This verse establishes both the obligation of sacrifice and the alternative of fasting for those unable to afford it.
Sheikh Ibn Baz explained that the sacrifice is a gratitude offering (shukr) for the blessing of combining উমরাহ and হজ্জ in one journey, saving the হাজী the cost and effort of separate trips. The minimum acceptable sacrifice is one sheep or goat that meets the age requirements (six months for sheep, one year for goats). Alternatively, a হাজী may share in a one-seventh portion of a camel or cow (seven হাজীগণ sharing one camel or cow). The animal must be free of defects that would disqualify it.
Sheikh Ibn Uthaymeen clarified that হাজীগণ performing হজ্জ al-Ifrad (হজ্জ alone without উমরাহ) are not required to offer a sacrifice, as they did not combine two acts of worship. He also noted that residents of মক্কা মুকাররমা who perform Tamattu are not required to offer a sacrifice জমহুর উলামাদের মতে, based on the continuation of the verse: 'This is for those whose family is not present at al-মসজিদুল হারাম.' The sacrifice obligation applies to non-মক্কা মুকাররমা residents who perform Tamattu or Qiran.